Maxwell construction for a nonreciprocal Cahn-Hilliard model

Author:

Daniel Greve, Giorgio Lovato, Tobias Frohoff-Hülsmann, Uwe Thiele

Keyword:

Nonlinear Sciences, Pattern Formation and Solitons, Pattern Formation and Solitons (nlin.PS), Soft Condensed Matter (cond-mat.soft)

journal:

date:

2024-02-13 00:00:00

Abstract

We consider a class of continuum models with a spurious gradient dynamics structure that form a bridge between passive and active systems: They formally maintain variational properties similar to passive systems, but describe certain active systems with sustained out-of-equilibrium dynamics as, e.g., oscillatory instabilities. After introducing the general class of systems, we focus on the example of a nonreciprocal Cahn-Hilliard (NRCH) model, present a Maxwell construction for coexisting states as well as resulting phase diagrams in the thermodynamic limit. These are then related to the bifurcation structures of corresponding finite-size systems. Our considerations directly apply to crystalline phases and also indicate the coexistence of uniform stationary and oscillatory phases.

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